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Finding the Fourth Proportional to 11,966.18, 16,516.08 and 7,767.14

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Solution

The fourth proportional to 11,966.18, 16,516.08 and 7,767.14 is: 10,720.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.18 : 16,516.08 = 7,767.14 : x
  2. Step 2: Convert to fraction form
    11,966.18/16,516.08 = 7,767.14/x
  3. Step 3: Cross multiply
    11,966.18x = 16,516.08 × 7,767.14
  4. Step 4: Simplify right side
    11,966.18x = 128,282,705.61
  5. Step 5: Solve for x
    x = 128,282,705.61/11,966.18
  6. Step 6: Final answer
    x = 10,720.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.